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Finding the Third Proportional to 71,783 and 167,663

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Solution

The third proportional to 71,783 and 167,663 is: 391,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783 : 167,663 = 167,663 : x
  2. Step 2: Convert to fraction form
    71,783/167,663 = 167,663/x
  3. Step 3: Cross multiply
    71,783x = 167,663 × 167,663
  4. Step 4: Simplify right side
    71,783x = 28,110,881,569
  5. Step 5: Solve for x
    x = 28,110,881,569/71,783
  6. Step 6: Final answer
    x = 391,609.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.